Raindrops fall 1.59 x 10^3 m from a cloud to the ground. If they were not slowed by air resistance, how fast would the drops be moving when they struck the ground?

Respuesta :

Answer:

18 seconds

Explanation:

s = Displacement = 1.59×10³ m

a = Acceleration due to gravity = 9.81 m/s²

u = Initial velocity = 0

v = Final velocity

t = Time taken

Equation of motion

[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow 1590=0\times t+\frac{1}{2}\times 9.81\times t^2\\\Rightarrow t=\sqrt{\frac{1590\times 2}{9.81}}\\\Rightarrow t=18\ s[/tex]

Time taken by the raindrop to reach the ground neglecting air resistance is 18 seconds